If a figure is a trapezoid, in what other way or ways can you classify it?

2 answers:

8 0

Trapezoid is classified as a polygon since it has a 4 sided flat shape with a pair of opposite parallel sides that is called bases and other two sides are called the legs. It is also considered as a quadrilateral since as mentioned it has 4 sides.

My name is Ann [436]3 years ago

4 0

You can classify it by saying it's a Polygon

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Using sum or difference formulas, find the exact value of sin(165∘)

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$\bf \textit{Sum and Difference Identities}
\\ \quad \\
sin({{ \alpha}} + {{ \beta}})=sin({{ \alpha}})cos({{ \beta}}) + cos({{ \alpha}})sin({{ \beta}})
\\ \quad \\
sin({{ \alpha}} - {{ \beta}})=sin({{ \alpha}})cos({{ \beta}})- cos({{ \alpha}})sin({{ \beta}})\\\\
-------------------------------\\\\$

$\bf sin(165^o)\implies sin(120^o+45^o)
\\\\\\
sin(120^o)cos(45^o)~+~cos(120^o)sin(45^o)\implies \cfrac{\sqrt{3}}{2}\cdot \cfrac{\sqrt{2}}{2}~+~\cfrac{-1}{2}\cdot \cfrac{\sqrt{2}}{2}
\\\\\\
\cfrac{\sqrt{6}}{4}~-~\cfrac{\sqrt{2}}{4}\implies \cfrac{\sqrt{6}-\sqrt{2}}{4}$

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